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Simplifying 5[-4(4x + 4) + 4(5x + -2)] = 0 Reorder the terms: 5[-4(4 + 4x) + 4(5x + -2)] = 0 5[(4 * -4 + 4x * -4) + 4(5x + -2)] = 0 5[(-16 + -16x) + 4(5x + -2)] = 0 Reorder the terms: 5[-16 + -16x + 4(-2 + 5x)] = 0 5[-16 + -16x + (-2 * 4 + 5x * 4)] = 0 5[-16 + -16x + (-8 + 20x)] = 0 Reorder the terms: 5[-16 + -8 + -16x + 20x] = 0 Combine like terms: -16 + -8 = -24 5[-24 + -16x + 20x] = 0 Combine like terms: -16x + 20x = 4x 5[-24 + 4x] = 0 [-24 * 5 + 4x * 5] = 0 [-120 + 20x] = 0 Solving -120 + 20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '120' to each side of the equation. -120 + 120 + 20x = 0 + 120 Combine like terms: -120 + 120 = 0 0 + 20x = 0 + 120 20x = 0 + 120 Combine like terms: 0 + 120 = 120 20x = 120 Divide each side by '20'. x = 6 Simplifying x = 6
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